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Finding the Fourth Proportional to 2,104.89, 3,157.62 and 644.19

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Solution

The fourth proportional to 2,104.89, 3,157.62 and 644.19 is: 966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.89 : 3,157.62 = 644.19 : x
  2. Step 2: Convert to fraction form
    2,104.89/3,157.62 = 644.19/x
  3. Step 3: Cross multiply
    2,104.89x = 3,157.62 × 644.19
  4. Step 4: Simplify right side
    2,104.89x = 2,034,107.23
  5. Step 5: Solve for x
    x = 2,034,107.23/2,104.89
  6. Step 6: Final answer
    x = 966.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.